GCD of 382, 418, 69, 250 Calculator

Given Input numbers are 382, 418, 69, 250

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 382, 418, 69, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 418, 69, 250 is 1.

Therefore, GCD of numbers 382, 418, 69, 250 is 1

Given Input Data is 382, 418, 69, 250

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 382 is 2 x 191

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 69 is 3 x 23

Prime Factorization of 250 is 2 x 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(382, 418) = 79838

GCD(382, 418) = ( 382 x 418 ) / 79838

GCD(382, 418) = 159676 / 79838

GCD(382, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

GCD of 382, 418, 69, 250 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 552, 40, 184
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• GCD of 659, 867, 79, 760
• GCD of 741, 758, 14, 930

1. What is the GCD of 382, 418, 69, 250?

GCD of 382, 418, 69, 250 is 1

2. Where do I get the detailed procedure to find GCD of 382, 418, 69, 250?

You can find a detailed procedure to find GCD of 382, 418, 69, 250 on our page.

3. How to find GCD of 382, 418, 69, 250 on a calculator?

You can find the GCD of 382, 418, 69, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.